It takes 3 pumps 16 hours to empty a tank
Meaning it takes 48 hours for one pump by its self
So if there are 4 pumps
48/4 it would take them 12 hours
They would need to work 12 hours to do it in 1 day
If you plot these points on a coordinate plane, you see that both vertices and foci lie on the y axis. This means that you have a vertical hyperbola, and the equation looks like this:
where h and k are the center. When you look at your graph, the origin is dead center between the vertices. (0, 0) is our h and k. Now we need a, b, and c. a is the distance between the center and the vertices, so our a = 4, and c is the distance between the center and the foci, so our c = 5. Use these in Pythagorean's Theorem to solve for b:
and
and b = 3. So we have all we need to do is replace all the variables. Our equation then would be this one:
or, simplified,
7y = 8x - 14
7y= 7(6) Reason : Given
7y = 42
8x -14 = 42 Reason: Because 8x - 14 equals to 7y
8x = 42 + 14 Reason : Because we flip 14 on to the other side of the equation thus it becomes opposute of what it was.
8x = 56
× = 7
Proven
Answer:
n= 15cm
Step-by-step explanation:
9 squared + 12 squared = N
Hope this helps!